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Finding the Fourth Proportional to 784.45, 1,082.54 and 452.87

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Solution

The fourth proportional to 784.45, 1,082.54 and 452.87 is: 624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.45 : 1,082.54 = 452.87 : x
  2. Step 2: Convert to fraction form
    784.45/1,082.54 = 452.87/x
  3. Step 3: Cross multiply
    784.45x = 1,082.54 × 452.87
  4. Step 4: Simplify right side
    784.45x = 490,249.89
  5. Step 5: Solve for x
    x = 490,249.89/784.45
  6. Step 6: Final answer
    x = 624.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.